46448116416000 has 1920 divisors, whose sum is σ = 192892366098432. Its totient is φ = 11063070720000.

The previous prime is 46448116415999. The next prime is 46448116416001. The reversal of 46448116416000 is 61461184464.

It is a happy number.

46448116416000 is a `hidden beast` number, since 4 + 6 + 4 + 481 + 1 + 6 + 4 + 160 + 0 + 0 = 666.

46448116416000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46448116415999) and next prime (46448116416001).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×46448116416000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46448116416001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6267452295 + ... + 6267459705.

Almost surely, 2^{46448116416000} is an apocalyptic number.

46448116416000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46448116416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96446183049216).

46448116416000 is an abundant number, since it is smaller than the sum of its proper divisors (146444249682432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46448116416000 is an equidigital number, since it uses as much as digits as its factorization.

46448116416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 46448116416000 in words is "forty-six trillion, four hundred forty-eight billion, one hundred sixteen million, four hundred sixteen thousand".